4,460 research outputs found
Field-enlarging transformations and chiral theories
A field-enlarging transformation in the chiral electrodynamics is performed.
This introduces an additional gauge symmetry to the model that is unitary and
anomaly-free and allows for comparison of different models discussed in the
literature. The problem of superfluous degrees of freedom and their influence
on quantization is discussed. Several "mysteries" are explained from this point
of view.Comment: 14 pages, LaTeX-file, BI-TP 93/0
Spin Flavor Conversion of Neutrinos in Loop Quantum Gravity
Loop quantum gravity theory incorporates a new scale length which
induces a Lorentz invariance breakdown. This scale can be either an universal
constant or can be fixed by the momentum of particles ().
Effects of the scale parameter and helicity terms occurring in the
dispersion relation of fermions are reviewed in the framework of spin-flip
conversion of neutrino flavors.Comment: 7 pages, no figur
BV formulation of higher form gauge theories in a superspace
We discuss the extended BRST and anti-BRST symmetry (including shift
symmetry) in the Batalin-Vilkovisky (BV) formulation for two and three form
gauge theories. Further we develop the superspace formulation for the BV
actions for these theories. We show that the extended BRST invariant BV action
for these theories can be written manifestly covariant manner in a superspace
with one Grassmann coordinate. On the hand a superspace with two Grassmann
coordinates are required for a manifestly covariant formulation of the extended
BRST and extended anti-BRST invariant BV actions for higher form gauge
theories.Comment: 30 pages, No figure, version to appear in EPJ
A note about the t`Hooft`s ansatz for SU(N) real time guage theories
The t`Hooft's ansatz reduces the classical Yang--Mills theory to the
one. It is shown that in the frame of this ansatz the real-time
classical solutions for the arbitrary SU(N) gauge group is obtained by
embedding into SU(N). It is argued that this group
structure is the only possibility in the frame of the considered ansatz. New
explicit solutions for SU(3) and SU(5) gauge groups are shown
Lazy Abstraction-Based Controller Synthesis
We present lazy abstraction-based controller synthesis (ABCS) for
continuous-time nonlinear dynamical systems against reach-avoid and safety
specifications. State-of-the-art multi-layered ABCS pre-computes multiple
finite-state abstractions of varying granularity and applies reactive synthesis
to the coarsest abstraction whenever feasible, but adaptively considers finer
abstractions when necessary. Lazy ABCS improves this technique by constructing
abstractions on demand. Our insight is that the abstract transition relation
only needs to be locally computed for a small set of frontier states at the
precision currently required by the synthesis algorithm. We show that lazy ABCS
can significantly outperform previous multi-layered ABCS algorithms: on
standard benchmarks, lazy ABCS is more than 4 times faster
Scattering from Singular Potentials in Quantum Mechanics
In non-relativistic quantum mechanics, singular potentials in problems with
spherical symmetry lead to a Schrodinger equation for stationary states with
non-Fuchsian singularities both as r tends to zero and as r tends to infinity.
In the sixties, an analytic approach was developed for the investigation of
scattering from such potentials, with emphasis on the polydromy of the wave
function in the r variable. The present paper extends those early results to an
arbitrary number of spatial dimensions. The Hill-type equation which leads, in
principle, to the evaluation of the polydromy parameter, is obtained from the
Hill equation for a two-dimensional problem by means of a simple change of
variables. The asymptotic forms of the wave function as r tends to zero and as
r tends to infinity are also derived. The Darboux technique of intertwining
operators is then applied to obtain an algorithm that makes it possible to
solve the Schrodinger equation with a singular potential containing many
negative powers of r, if the exact solution with even just one term is already
known.Comment: 19 pages, plain Tex. In this revised version, the analysis of Eq.
(5.29) has been amended, and an appendix has been added for completenes
The Gaia-ESO Survey: membership and Initial Mass Function of the Gamma Velorum cluster
Understanding the properties of young open clusters, such as the Initial Mass
Function (IMF), star formation history and dynamic evolution, is crucial to
obtain reliable theoretical predictions of the mechanisms involved in the star
formation process. We want to obtain a list, as complete as possible, of
confirmed members of the young open cluster Gamma Velorum, with the aim of
deriving general cluster properties such as the IMF. We used all available
spectroscopic membership indicators within the Gaia-ESO public archive together
with literature photometry and X-ray data and, for each method, we derived the
most complete list of candidate cluster members. Then, we considered
photometry, gravity and radial velocities as necessary conditions to select a
subsample of candidates whose membership was confirmed by using the lithium and
H lines and X-rays as youth indicators. We found 242 confirmed and 4
possible cluster members for which we derived masses using very recent stellar
evolutionary models. The cluster IMF in the mass range investigated in this
study shows a slope of for and
for and is consistent with a standard
IMF. The similarity of the IMF of the young population around Vel to
that in other star forming regions and the field suggests it may have formed
through very similar processes.Comment: Accepted for publication in A&A; 18 pages, 11 figures, 5 table
Compositionality for Quantitative Specifications
We provide a framework for compositional and iterative design and
verification of systems with quantitative information, such as rewards, time or
energy. It is based on disjunctive modal transition systems where we allow
actions to bear various types of quantitative information. Throughout the
design process the actions can be further refined and the information made more
precise. We show how to compute the results of standard operations on the
systems, including the quotient (residual), which has not been previously
considered for quantitative non-deterministic systems. Our quantitative
framework has close connections to the modal nu-calculus and is compositional
with respect to general notions of distances between systems and the standard
operations
Asymptotics and zeros of Sobolev orthogonal polynomials on unbounded supports
In this paper we present a survey about analytic properties of polynomials
orthogonal with respect to a weighted Sobolev inner product such that the
vector of measures has an unbounded support. In particular, we are focused in
the study of the asymptotic behaviour of such polynomials as well as in the
distribution of their zeros. Some open problems as well as some new directions
for a future research are formulated.Comment: Changed content; 34 pages, 41 reference
Nitrogen and Phosphorus Losses in Runoff on Beef Production Systems
In West Europe countries between 37 and 82% of the nitrogen (N) and between 27 and 38% of the phosphorus (P) reaching water sources come from agriculture and a strong correlation between the number of animals per area unit and N and P contribution to waters has been shown (Issermann, 1990). There are few data about the environmental impact of beef production systems in Southern Chile. The objective of this experiment was to quantify N and P losses in runoff (surface and subsurface) with two different stocking rates in Southern Chile
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